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2101253201 is a prime number
BaseRepresentation
bin111110100111110…
…1001010001010001
312102102212201111122
41331033221101101
513300410100301
6544301052025
7103033233425
oct17517512121
95372781448
102101253201
119891146a3
124a7857015
132764393b8
1415d0d4b85
15c471381b
hex7d3e9451

2101253201 has 2 divisors, whose sum is σ = 2101253202. Its totient is φ = 2101253200.

The previous prime is 2101253183. The next prime is 2101253221. The reversal of 2101253201 is 1023521012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1496142400 + 605110801 = 38680^2 + 24599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101253201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101253201.

It is not a weakly prime, because it can be changed into another prime (2101253221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050626600 + 1050626601.

It is an arithmetic number, because the mean of its divisors is an integer number (1050626601).

Almost surely, 22101253201 is an apocalyptic number.

It is an amenable number.

2101253201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101253201 is an equidigital number, since it uses as much as digits as its factorization.

2101253201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2101253201 is about 45839.4284541158. The cubic root of 2101253201 is about 1280.8338481563.

Adding to 2101253201 its reverse (1023521012), we get a palindrome (3124774213).

The spelling of 2101253201 in words is "two billion, one hundred one million, two hundred fifty-three thousand, two hundred one".